using OrdinaryDiffEqLowStorageRK
using Trixi

###############################################################################
# semidiscretization of the compressible Euler equations

equations = CompressibleEulerEquations2D(1.4)

initial_condition = initial_condition_convergence_test

polydeg = 3 # Governs in this case only the number of subcells
basis = LobattoLegendreBasis(polydeg)
surface_flux = flux_hllc
volume_integral = VolumeIntegralPureLGLFiniteVolumeO2(basis,
                                                      volume_flux_fv = surface_flux,
                                                      reconstruction_mode = reconstruction_O2_full,
                                                      slope_limiter = monotonized_central)
solver = DGSEM(polydeg = polydeg, surface_flux = surface_flux,
               volume_integral = volume_integral)

coordinates_min = (0.0, 0.0)
coordinates_max = (2.0, 2.0)
mesh = TreeMesh(coordinates_min, coordinates_max,
                initial_refinement_level = 3,
                periodicity = true)

semi = SemidiscretizationHyperbolic(mesh, equations, initial_condition, solver;
                                    source_terms = source_terms_convergence_test,
                                    boundary_conditions = boundary_condition_periodic)

###############################################################################
# ODE solvers, callbacks etc.

tspan = (0.0, 2.0)
ode = semidiscretize(semi, tspan)

summary_callback = SummaryCallback()

analysis_interval = 100
analysis_callback = AnalysisCallback(semi, interval = analysis_interval,
                                     extra_analysis_errors = (:l2_error_primitive,
                                                              :linf_error_primitive,
                                                              :conservation_error))

alive_callback = AliveCallback(analysis_interval = analysis_interval)

stepsize_callback = StepsizeCallback(cfl = 1.1)

callbacks = CallbackSet(summary_callback,
                        analysis_callback, alive_callback,
                        stepsize_callback)

###############################################################################
# run the simulation

sol = solve(ode, ORK256();
            dt = 1, # solve needs some value here but it will be overwritten by the stepsize_callback
            ode_default_options()..., callback = callbacks);
